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A120729 Smallest integer k>0 such that k*10^n + 1 is a semiprime. +0
1
3, 2, 2, 5, 1, 1, 1, 1, 1, 2, 4, 2, 3, 7, 4 (list; graph; listen)
OFFSET

0,1

COMMENT

The corresponding semiprimes are 4, 21, 201, 5001, 10001, 100001, 100001, 10000001, 2000000001, 40000000001, ... Semiprime analogue of A121172.

FORMULA

Smallest integer k>0 such that k*10^n + 1 is in A001358.

EXAMPLE

a(0) = 3 because 3*10^0 + 1 = 4 = 2^2 is a semiprime.

a(1) = 2 because 2*10^1 + 1 = 21 = 3*7 is a semiprime.

a(2) = 2 because 2*10^2 + 1 = 201 = 3*67 is a semiprime.

a(3) = 5 because 5*10^3 + 1 = 5001 = 3*1667 is a semiprime.

a(4) = 1 because 1*10^4 + 1 = 10001 = 73*137 is a semiprime.

a(5) = 1 because 1*10^5 + 1 = 100001 = 11*9091 is a semiprime.

CROSSREFS

Cf. A001358, A030430, A037071, A062800, A065582, A121172.

Sequence in context: A117970 A111241 A133518 this_sequence A092743 A139420 A092895

Adjacent sequences: A120726 A120727 A120728 this_sequence A120730 A120731 A120732

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 17 2006

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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